On the p-reduced Energy of a Graph
Mathematica Moravica, Tome 9 (2005) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Let G be a simple connected graph of order n and let $\lambda_1 \geq \lambda_2 \geq \dots \geq \lambda_n$ be the spectrum of G. Then the sum $S^{l}_{k}(G)= \abs{\lambda_{k+1}}+\abs{\lambda_{k+2}}+ \cdots + \abs{\lambda_{n-l}}$ is called (k, l)-reduced energy of G, where k, l are two fixed nonnegative integers [2]. In this work, we make a generalization of the (k, l)-reduced energy, as follows: for any fixed $p \in N$, the sum $S^{l}_{k}(G, p)= \abs{\lambda_{k+1}}^p+\abs{\lambda_{k+2}}^p+ \cdots + \abs{\lambda_{n-l}}^p$ is called the p-th (k, l)-reduced energy of the graph G. We also here introduce definitions of some other kinds of the p-reduced energies and we prove some properties of them.
Mots-clés :
Simple graphs, Energy of the graph
@article{MM3_2005_9_1_a3,
author = {Mirjana Lazi\'c},
title = {On the p-reduced {Energy} of a {Graph}},
journal = {Mathematica Moravica},
pages = {17 - 20},
publisher = {mathdoc},
volume = {9},
number = {1},
year = {2005},
url = {https://geodesic-test.mathdoc.fr/item/MM3_2005_9_1_a3/}
}
Mirjana Lazić. On the p-reduced Energy of a Graph. Mathematica Moravica, Tome 9 (2005) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2005_9_1_a3/